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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 136710e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
136710.fo1 | 136710e1 | \([1, -1, 1, 42988, 1872119]\) | \(102437538839/77137920\) | \(-6615820180408320\) | \([]\) | \(1161600\) | \(1.7239\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 136710e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 136710e do not have complex multiplication.Modular form 136710.2.a.e
sage: E.q_eigenform(10)